Bifurcation without Parameters
Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of c...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Methods & Concepts
- Cosymmetries
- Codimension One
- Transcritical Bifurcation
- Poincar´e-Andronov-Hopf Bifurcation
- Application: Decoupling in Networks
- Application: Oscillatory Profiles
- Codimension Two
- egenerate Transcritical Bifurcation
- egenerate Andronov-Hopf Bifurcation
- Bogdanov-Takens Bifurcation
- Zero-Hopf Bifurcation
- Double-Hopf Bifurcation
- Application: Cosmological Models
- Application: Planar Fluid Flow
- Beyond Codimension Two
- Codimension-One Manifolds of Equilibria
- Summary & Outlook